What's the difference between these two curves for AC Generator?

Click For Summary
SUMMARY

The discussion clarifies the differences between two curves representing the output of an AC generator, specifically focusing on the labeling of cycles and revolutions. One curve uses numerical labels while the other employs letters, with the first curve depicting current and the second voltage. The relationship between the two curves is governed by Faraday's law of electromagnetic induction, expressed as ε = -dΦ/dt. The confusion arises from the starting points of the cycles, where one begins at Time = 0 and the other at Time = T/4, leading to different interpretations of the same phenomenon.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Familiarity with AC generator operation
  • Knowledge of phase shifts in electrical circuits
  • Basic concepts of cycles and revolutions in waveforms
NEXT STEPS
  • Study the implications of phase shifts in AC circuits with capacitors and inductors
  • Learn about the mathematical representation of waveforms in AC generators
  • Explore the practical applications of Faraday's law in electrical engineering
  • Investigate the differences between voltage and current waveforms in AC systems
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding the principles of AC generators and electromagnetic induction.

Physical_Fire
Messages
54
Reaction score
11
1704024603335.png


1704024652084.png
 
Physics news on Phys.org
One uses numbers for labels while the other uses letters.
 
  • Like
Likes   Reactions: russ_watters, SammyS and vanhees71
And one is current, the other voltage :smile:

You'll keep getting this kind of corny answers until you improve your question...

##\ ##
 
  • Like
Likes   Reactions: russ_watters and vanhees71
1704027513499.png

1704027531266.png

Why are the curves different? One revolution in the yellow picture is different to the one underneath it. The second picture looks like a cosine curve if started from 1. And how would I know how to draw 2 revolution curve? I am confused.
 
You're not doing it deliberately, but the top picture in post #1 goes with the bottom picture in #4. Confusion lurks :nb) .

An important relationship in this is Faraday's law: ##\quad\varepsilon = -{d\Phi\over dt}##.

Can you see how the two pictures agree in that respect ?

##\ ##
 
I don't get it. Please explain
 
Physical_Fire said:
I don't get it. Please explain
On what level ? What do you know already ? About electromagnetic induction, Faraday's law, AC generators, etc ?

##\ ##
 
Yeah I know those. I don't his equation although.
 
The figures only can belong together if your circuit contains only a resistor, because if there were capacitors and/or coils present there'd be a phase shift between the EMF (sometimes confusingly called "voltage") and the current.
 
  • #10
I don't think we should complicate things for the OP .

Physical_Fire said:
I don't (know) his equation although (edits: BvU)
Ok, but the question was
BvU said:
What do you know already ?
Lenz's law, Lorentz force, ... ?

##\ ##
 
  • #11
Physical_Fire said:
Why are the curves different? One revolution in the yellow picture is different to the one underneath it
I don’t see any differences between the two pictures other than stylistic differences. The concept and the content are the same.

Can you be very specific and clear about what you see that is different to you?
 
  • Like
Likes   Reactions: Lord Jestocost, russ_watters, nasu and 1 other person
  • #12
There are two notes, “1 cycle” in the first picture and “one revolution” in the second picture. Each of them shows what one cycle is or what one revolution is. But the cycle showed by the note “1 cycle” in the first picture is not the same as the cycle showed by the note “one revolution” in the second picture. “1 cycle” defines a revolution that begins from no. of rotations = 0 or from Time = 0 s, while “one revolution” defines a revolution that begins from Time = T/4 or from no. of rotations = 1/4. Which one will be used depends on which picture will be used in the process description. Every curve pattern, which is a revolution, must satisfied the condition that it can start at Time = t, where t can be any real number and it must end at Time = t + T where T is a period.

There is not a difference between two curves in two different pictures. Both of them describe the same process. The first revolution, in accordance with the definition of a revolution by the note “1 cycle” in the first picture, in the first picture begins from no. of rotations = 0 where e.m.f. = 0 V. Corresponding value of no. of rotations = 0 in the first picture is Time = 0 s in the second picture. The first revolution, in accordance with the definition of a revolution by the note “1 cycle” in the first picture, in the second picture begins from Time = 0 s where E.m.f. = 0 V.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 13 ·
Replies
13
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 54 ·
2
Replies
54
Views
7K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K